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406871088 = 243131733769
BaseRepresentation
bin11000010000000…
…101110000110000
31001100121012012120
4120100011300300
51313124333323
6104212354240
713040230041
oct3020056060
91040535176
10406871088
111997392a8
12b4315980
13663a8c30
143c0728c8
1525abe5e3
hex18405c30

406871088 has 80 divisors (see below), whose sum is σ = 1138781280. Its totient is φ = 124434432.

The previous prime is 406871053. The next prime is 406871107. The reversal of 406871088 is 880178604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106068 + ... + 109836.

It is an arithmetic number, because the mean of its divisors is an integer number (14234766).

Almost surely, 2406871088 is an apocalyptic number.

406871088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406871088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569390640).

406871088 is an abundant number, since it is smaller than the sum of its proper divisors (731910192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406871088 is a wasteful number, since it uses less digits than its factorization.

406871088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 406871088 is about 20171.0457834987. The cubic root of 406871088 is about 741.0012548218.

The spelling of 406871088 in words is "four hundred six million, eight hundred seventy-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 173 208 312 346 519 624 692 1038 1384 2076 2249 2768 3769 4152 4498 6747 7538 8304 8996 11307 13494 15076 17992 22614 26988 30152 35984 45228 48997 53976 60304 90456 97994 107952 146991 180912 195988 293982 391976 587964 652037 783952 1175928 1304074 1956111 2351856 2608148 3912222 5216296 7824444 8476481 10432592 15648888 16952962 25429443 31297776 33905924 50858886 67811848 101717772 135623696 203435544 406871088